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Defintion of an even function: f(−a) = f(a).

Since f(1) = 2 then, by definition, f(−1) = 2 as well.

There are many ways to connect the points, just make sure you maintain symmetry over the y-axis.

Can you draw a parabola through all of these points? Give it a try.

Use the eTool below to view the graphs of some possible functions.
Click the link at right for the full version of the eTool: Calc 1-70 HW eTool